Question

what is the approximate value of \\(\log_{6} 25\\)?

\\(\bigcirc\\) 0.233
\\(\bigcirc\\) 0.557
\\(\bigcirc\\) 0.620
\\(\bigcirc\\) 1.796

Explanation:

Apply the change of base formula

Using the Change of Base Formula knowledge point

$$ \log_{6}{25} = \frac{\ln{25}}{\ln{6}} $$

Evaluate the logarithms

Using the Logarithmic Evaluation knowledge point

$$
LATEXBLOCK0
$$

Calculate the final ratio

Using the Logarithmic Evaluation knowledge point

$$ \frac{3.218876}{1.791759} \approx 1.7965 $$

Answer:

• (A) 0.233
• (B) 0.557
• (C) 0.620
• (D) 1.796 (Correct answer)